# Stored data for abelian variety isogeny class 2.97.aba_nr, downloaded from the LMFDB on 12 May 2026.
{"abvar_count": 7217, "abvar_counts": [7217, 88862921, 835300545296, 7839757122762761, 73743341275862299377, 693842029241779301983232, 6528362246625435957384122801, 61425365325049090882916341919753, 577951262715984412235420968161346832, 5437943428835568244927501642492820768841], "abvar_counts_str": "7217 88862921 835300545296 7839757122762761 73743341275862299377 693842029241779301983232 6528362246625435957384122801 61425365325049090882916341919753 577951262715984412235420968161346832 5437943428835568244927501642492820768841 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 2, "angles": [0.202933034031894, 0.327277963103946], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 72, "curve_counts": [72, 9444, 915222, 88555524, 8587448392, 832971606654, 80798277943560, 7837433591669508, 760231058882053206, 73742412683635893604], "curve_counts_str": "72 9444 915222 88555524 8587448392 832971606654 80798277943560 7837433591669508 760231058882053206 73742412683635893604 ", "curves": ["y^2=20*x^6+13*x^5+58*x^4+20*x^3+58*x^2+67*x+95", "y^2=13*x^6+93*x^5+72*x^4+9*x^3+3*x^2+70*x+14", "y^2=19*x^6+75*x^5+57*x^4+49*x^3+57*x^2+72*x+26", "y^2=32*x^6+5*x^5+62*x^4+62*x^3+31*x^2+35*x+55", "y^2=74*x^6+30*x^5+2*x^4+39*x^3+96*x^2+10*x+87", "y^2=40*x^6+27*x^5+63*x^4+45*x^3+73*x^2+63*x+57", "y^2=83*x^6+25*x^5+58*x^4+22*x^3+57*x^2+38*x+1", "y^2=5*x^6+37*x^5+55*x^4+9*x^3+28*x^2+24*x+88", "y^2=13*x^6+2*x^5+47*x^4+x^3+21*x^2+21*x+96", "y^2=96*x^6+8*x^5+90*x^4+95*x^3+37*x^2+12*x+31", "y^2=70*x^6+21*x^5+x^4+2*x^3+58*x^2+71*x+24", "y^2=74*x^6+6*x^5+61*x^4+94*x^3+51*x^2+22*x+64", "y^2=25*x^6+73*x^5+51*x^4+85*x^3+58*x^2+85*x+68", "y^2=14*x^6+96*x^5+20*x^4+94*x^3+18*x^2+3*x+34", "y^2=34*x^6+43*x^5+45*x^4+18*x^3+32*x^2+67*x+55", "y^2=43*x^6+83*x^5+17*x^4+93*x^3+62*x^2+39*x+33", "y^2=13*x^6+18*x^5+9*x^4+85*x^3+58*x^2+13*x+64", "y^2=29*x^6+16*x^5+47*x^3+22*x^2+4*x+11", "y^2=63*x^6+64*x^5+26*x^4+39*x^3+23*x^2+14*x+10", "y^2=11*x^6+86*x^5+12*x^4+18*x^3+85*x^2+95", "y^2=15*x^6+18*x^5+61*x^4+46*x^3+92*x^2+28*x+1", "y^2=13*x^6+84*x^5+40*x^4+75*x^3+81*x^2+65*x+46", "y^2=44*x^6+34*x^5+16*x^4+4*x^3+38*x^2+29*x+67", "y^2=85*x^6+4*x^5+8*x^4+44*x^3+94*x^2+50*x+65", "y^2=57*x^6+69*x^5+4*x^4+23*x^3+73*x^2+11*x+8", "y^2=47*x^6+39*x^5+74*x^4+37*x^3+71*x^2+86*x+26", "y^2=36*x^6+78*x^5+53*x^4+54*x^3+89*x^2+18*x+57", "y^2=21*x^6+63*x^5+73*x^4+58*x^3+23*x^2+77*x+39", "y^2=45*x^6+91*x^5+32*x^4+50*x^3+58*x^2+52*x+3", "y^2=33*x^6+8*x^5+66*x^4+2*x^3+69*x^2+10*x+34", "y^2=56*x^6+69*x^5+94*x^4+71*x^3+26*x^2+90*x+35", "y^2=35*x^6+4*x^5+75*x^4+54*x^3+5*x^2+48*x+50", "y^2=20*x^6+86*x^5+27*x^4+19*x^3+49*x^2+47*x+86", "y^2=41*x^6+30*x^5+58*x^4+84*x^3+59*x+48", "y^2=89*x^6+86*x^5+83*x^4+92*x^3+54*x^2+81*x+19", "y^2=96*x^6+20*x^5+12*x^4+95*x^3+53*x^2+40*x+9", "y^2=68*x^6+6*x^5+76*x^4+55*x^3+27*x^2+68*x+40", "y^2=19*x^6+63*x^5+3*x^4+18*x^3+11*x^2+85*x+69", "y^2=56*x^6+46*x^5+90*x^4+65*x^3+26*x^2+92*x+90", "y^2=93*x^6+20*x^5+83*x^4+76*x^3+77*x^2+38*x+38", "y^2=83*x^6+37*x^5+9*x^4+27*x^3+51*x^2+27*x+24", "y^2=15*x^6+92*x^5+4*x^4+25*x^3+51*x^2+42*x+74", "y^2=56*x^6+33*x^5+36*x^4+28*x^3+82*x^2+10*x+89", "y^2=48*x^6+47*x^5+4*x^4+90*x^3+22*x^2+19*x+76", "y^2=91*x^6+57*x^5+66*x^4+82*x^3+57*x^2+77*x+38", "y^2=69*x^6+50*x^5+45*x^4+95*x^3+80*x^2+10*x+72", "y^2=58*x^6+72*x^5+76*x^4+94*x^3+28*x^2+91*x+10", "y^2=44*x^6+54*x^5+33*x^4+11*x^3+76*x^2+92*x+64", "y^2=15*x^6+48*x^5+21*x^4+41*x^3+x^2+89*x+68", "y^2=33*x^6+x^5+62*x^4+60*x^3+10*x^2+23*x+90", "y^2=40*x^6+43*x^5+96*x^4+88*x^3+22*x^2+11*x+67", "y^2=83*x^6+26*x^5+56*x^4+54*x^3+29*x^2+47*x+73", "y^2=9*x^6+35*x^5+10*x^4+34*x^3+8*x^2+8*x+9", "y^2=10*x^6+33*x^5+60*x^4+29*x^3+46*x^2+57*x+14", "y^2=6*x^6+13*x^5+83*x^4+54*x^2+45*x+4", "y^2=83*x^6+58*x^5+8*x^4+80*x^3+34*x^2+2*x+43", "y^2=5*x^6+14*x^5+18*x^4+77*x^3+4*x^2+24*x+67", "y^2=51*x^6+35*x^5+50*x^4+14*x^3+24*x^2+50*x+93", "y^2=13*x^6+89*x^5+8*x^4+86*x^3+65*x^2+74*x+65", "y^2=37*x^6+30*x^5+62*x^4+31*x^3+24*x^2+21*x+9", "y^2=12*x^6+18*x^5+23*x^4+29*x^3+18*x^2+24*x+59", "y^2=34*x^6+41*x^5+9*x^4+34*x^3+15*x^2+46*x+57", "y^2=52*x^6+77*x^5+3*x^4+74*x^3+68*x^2+6*x+45", "y^2=21*x^6+42*x^5+88*x^4+71*x^3+76*x^2+9*x+93", "y^2=80*x^6+67*x^5+15*x^4+20*x^3+19*x^2+88*x+84", "y^2=9*x^6+8*x^5+70*x^4+87*x^3+57*x^2+38*x+53", "y^2=45*x^6+28*x^5+10*x^4+25*x^3+44*x^2+29*x+62", "y^2=2*x^6+47*x^5+47*x^4+85*x^3+62*x^2+3*x+29", "y^2=5*x^6+16*x^5+94*x^4+70*x^3+57*x^2+94*x+1", "y^2=3*x^6+4*x^5+35*x^4+51*x^3+28*x^2+22*x+52", "y^2=7*x^6+68*x^5+51*x^4+7*x^3+90*x^2+46*x+14", "y^2=89*x^6+42*x^5+59*x^4+53*x^3+92*x^2+89*x+78", "y^2=34*x^6+55*x^5+27*x^4+86*x^3+25*x^2+11*x+67", "y^2=38*x^6+77*x^5+13*x^4+78*x^3+92*x^2+90*x+28", "y^2=74*x^6+15*x^5+15*x^4+17*x^3+21*x^2+68*x+28", "y^2=83*x^6+82*x^5+13*x^4+15*x^3+7*x^2+86*x+43", "y^2=63*x^6+6*x^5+8*x^4+65*x^3+25*x^2+6*x+8", "y^2=85*x^6+59*x^5+76*x^4+25*x^3+60*x^2+88*x+20", "y^2=94*x^6+61*x^5+4*x^4+86*x^3+18*x^2+56*x+28", "y^2=59*x^6+34*x^5+33*x^4+16*x^3+56*x^2+38*x+29", "y^2=84*x^6+27*x^5+40*x^4+31*x^3+40*x^2+92*x+17", "y^2=6*x^6+7*x^5+73*x^4+40*x^3+4*x^2+84*x+59", "y^2=7*x^6+4*x^5+46*x^4+70*x^3+13*x^2+4*x+21", "y^2=77*x^6+95*x^5+74*x^4+94*x^3+63*x^2+37*x+57", "y^2=37*x^6+15*x^5+95*x^4+96*x^3+81*x^2+81*x+87", "y^2=59*x^6+71*x^5+68*x^4+22*x^3+48*x^2+74*x+22", "y^2=57*x^6+19*x^5+27*x^4+56*x^3+46*x^2+64*x+45"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.2503232.2"], "geometric_splitting_field": "4.0.2503232.2", "geometric_splitting_polynomials": [[2471, -106, 107, -2, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 87, "is_cyclic": true, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 87, "label": "2.97.aba_nr", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.2503232.2"], "p": 97, "p_rank": 2, "p_rank_deficit": 0, "pic_prime_gens": [[1, 7, 1, 58]], "poly": [1, -26, 355, -2522, 9409], "poly_str": "1 -26 355 -2522 9409 ", "primitive_models": [], "principal_polarization_count": 87, "q": 97, "real_poly": [1, -26, 161], "simple_distinct": ["2.97.aba_nr"], "simple_factors": ["2.97.aba_nrA"], "simple_multiplicities": [1], "singular_primes": ["2,3*F^2-4*F-V+32"], "size": 87, "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.2503232.2", "splitting_polynomials": [[2471, -106, 107, -2, 1]], "twist_count": 2, "twists": [["2.97.ba_nr", "2.9409.bi_ugx", 2]], "weak_equivalence_count": 2, "zfv_index": 4, "zfv_index_factorization": [[2, 2]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_pic_size": 58, "zfv_plus_index": 2, "zfv_plus_index_factorization": [[2, 1]], "zfv_plus_norm": 39113, "zfv_singular_count": 2, "zfv_singular_primes": ["2,3*F^2-4*F-V+32"]}